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Simplifying 4g + 3(g + -5) = -5(g + -4) + -1g Reorder the terms: 4g + 3(-5 + g) = -5(g + -4) + -1g 4g + (-5 * 3 + g * 3) = -5(g + -4) + -1g 4g + (-15 + 3g) = -5(g + -4) + -1g Reorder the terms: -15 + 4g + 3g = -5(g + -4) + -1g Combine like terms: 4g + 3g = 7g -15 + 7g = -5(g + -4) + -1g Reorder the terms: -15 + 7g = -5(-4 + g) + -1g -15 + 7g = (-4 * -5 + g * -5) + -1g -15 + 7g = (20 + -5g) + -1g Combine like terms: -5g + -1g = -6g -15 + 7g = 20 + -6g Solving -15 + 7g = 20 + -6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '6g' to each side of the equation. -15 + 7g + 6g = 20 + -6g + 6g Combine like terms: 7g + 6g = 13g -15 + 13g = 20 + -6g + 6g Combine like terms: -6g + 6g = 0 -15 + 13g = 20 + 0 -15 + 13g = 20 Add '15' to each side of the equation. -15 + 15 + 13g = 20 + 15 Combine like terms: -15 + 15 = 0 0 + 13g = 20 + 15 13g = 20 + 15 Combine like terms: 20 + 15 = 35 13g = 35 Divide each side by '13'. g = 2.692307692 Simplifying g = 2.692307692
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